Search a number
-
+
321443605464 = 23353389649633
BaseRepresentation
bin1001010110101111000…
…10000010101111011000
31010201200221212001101220
410223113202002233120
520231304030333324
6403400312012040
732136446364462
oct4532742025730
91121627761356
10321443605464
11114361598493
125236a991020
1324409611957
14117b504b132
158565034b79
hex4ad7882bd8

321443605464 has 64 divisors (see below), whose sum is σ = 820877522400. Its totient is φ = 104855801856.

The previous prime is 321443605387. The next prime is 321443605471. The reversal of 321443605464 is 464506344123.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169992 + ... + 819624.

Almost surely, 2321443605464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321443605464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410438761200).

321443605464 is an abundant number, since it is smaller than the sum of its proper divisors (499433916936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321443605464 is a wasteful number, since it uses less digits than its factorization.

321443605464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650084 (or 650080 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 321443605464 its reverse (464506344123), we get a palindrome (785949949587).

The spelling of 321443605464 in words is "three hundred twenty-one billion, four hundred forty-three million, six hundred five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 389 424 636 778 1167 1272 1556 2334 3112 4668 9336 20617 41234 61851 82468 123702 164936 247404 494808 649633 1299266 1948899 2598532 3897798 5197064 7795596 15591192 34430549 68861098 103291647 137722196 206583294 252707237 275444392 413166588 505414474 758121711 826333176 1010828948 1516243422 2021657896 3032486844 6064973688 13393483561 26786967122 40180450683 53573934244 80360901366 107147868488 160721802732 321443605464